This question uses a Geogebra applet to solve a linear program with two variables using the graphical method. It contains three steps:

1. Construct the feasible area (polygon) by adding the constraints one by one. The students can see what happens when the constraints are added.
2. Add the objective function, and the level set of the objective value is shown, as well as its (normalised) gradient.
3. Compute the optimal solution by moving the level set of the objective around.

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Match the graphs to the functions. No randomisation. Multiple choice.

Match the relevant graph (sin, cos, tan) with its equation. 

Multiple choice - select the quadratic graph.

Calculating gradient and finding intercept from a geogebra graph.

Determine the correct parametric representation of a given curve.  Curve is randomly chosen from a set of 20.

The graph of the curve was not displayed on my machine.

Alternative version of Graphs: Match graph to its adjacency matrix, where the student must match an adjacency matrix to a graph.

The student is shown one graph, and asked to type the adjacency matrix

Use Pythagoras' Theorem to find the length of a side on a right-angled triangle.

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Recognising the equation of a semi-circle centred at the origin. Top, bottom, left and right.

Recognising the equation of a circle.

Recognising that $(x-a)^2+(y-b)^2=r^2$ is a circle of radius $r$ with centre $(a,b)$ 

Completing the square twice to determine the radius and centre of a circle.

Find the $x$ and $y$ intercepts of a circle.

Given the graph of the line determine the equation of the line.

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Graphing $y=ab^{\pm x+d}+c$

Graphing $y=ab^x+c$

Graphing exponentials with a base between 0 and 1 and no transformations take place.

The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.

The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.

Graphing $y=a\log_{b}(x)+c$

Graphing $y=a\log_{b}(\pm x+d)+c$

A random graph is drawn and students are asked whether it represents a function or not.

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